A rational number between 12and 13is [[1]].

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A rational number between $\frac{1}{2}$ and $\frac{1}{3}$ is [[1]].

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answer is 5 12.

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Detailed Solution

A rational number between

\frac{1}{2}

and

\frac{1}{3}

\frac{5}{12}

.
Given-

\frac{1}{2}

and

\frac{1}{3}

.
To determine any two rational numbers between

\frac{1}{2}

and

\frac{1}{3}

.
When we want to find the rational number between two rational numbers, we must take their arithmetic mean.
As a result, if we want to find a rational number between

\frac{1}{2}

and

\frac{1}{3}

, we must compute their arithmetic mean.
So,

\Rightarrow \frac{\frac{1}{2} + \frac{1}{3}}{2}

\Rightarrow \frac{\frac{3 + 2}{6}}{2}

\Rightarrow \frac{\frac{5}{6}}{2}

\Rightarrow \frac{5}{12}

The rational number is

\frac{5}{12}

.
Thus, a rational number between

\frac{1}{2}

and

\frac{1}{3}

\frac{5}{12}

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